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Finding the Fourth Proportional to 283,906.56, 425,859.20 and 115,518.32

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Solution

The fourth proportional to 283,906.56, 425,859.20 and 115,518.32 is: 173,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,906.56 : 425,859.20 = 115,518.32 : x
  2. Step 2: Convert to fraction form
    283,906.56/425,859.20 = 115,518.32/x
  3. Step 3: Cross multiply
    283,906.56x = 425,859.20 × 115,518.32
  4. Step 4: Simplify right side
    283,906.56x = 49,194,539,340.54
  5. Step 5: Solve for x
    x = 49,194,539,340.54/283,906.56
  6. Step 6: Final answer
    x = 173,277.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.